Simplify Radical Expressions

A

AbsentMinded

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May 16, 2012
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Hello! This is my first thread here. Nice to meet you all.

I've been assigned a problem that looks like this : problems.png

Now normally, I would square each side to cancel out the square root, but I haven't done a problem with the 2 there. If the 2 wasn't there I'd be at 12x^2 * 8x.

Can someone help me through this?

Thanks
 
AbsentMinded said:
Hello! This is my first thread here. Nice to meet you all.

I've been assigned a problem that looks like this : View attachment 1969

Now normally, I would square each side to cancel out the square root, but I haven't done a problem with the 2 there. If the 2 wasn't there I'd be at 12x^2 * 8x.

Can someone help me through this?

Thanks
Click to expand...

That . in the middle of the expression - does that signify multiplication?

If it does - then -

\(\displaystyle \sqrt{12x^2} * 2\sqrt{8x} \ = \ 2*x*\sqrt{3} * 4*\sqrt{2x} \ = \ 8* x*\sqrt{6x}\)
 
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Yes it does. Sorry for not being clear.

Wow, thanks! and that is it's simplest form? With the 2 x's it seems like it's not finished, but Im probably wrong.


Thank you so much!!!
 
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